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romanna [79]
3 years ago
6

Which expression is equivalent to ?​

Mathematics
2 answers:
Ket [755]3 years ago
8 0

Answer:

C \frac{y^\frac{1}{2} }{xz^2}

Step-by-step explanation:

To find an equivalent (or equal) expression, simplify the operations using exponent rules. Apply the power to a power rule and the negative exponent rule to turn all negative exponents positive. This is applied by moving any bases with negative exponents to the denominator.

(x^\frac{1}{2}y^\frac{-1}{4}z)^{-2} = (x^\frac{-2}{2}y^\frac{2}{4}z^{-2})=\frac{y^\frac{1}{2} }{xz^2}

Citrus2011 [14]3 years ago
5 0

Hi, this should be the answer.

Hope this helps :)

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Describe the rule for the sequence 2, 1, 2/3, 1/2, 2/5, 1/3, 1/7,...
Triss [41]

Multiply 2 by 1/2 to get 1.

Multiply 1 by 2/3 to get 2/3.

Multiply 2/3 by 3/4 to get 6/12 = 1/2.

Multiply 1/2 by 4/5 to get 4/10 = 2/5.

Multiply 2/5 by 5/6 to get 10/30 = 1/3.

Multiply 1/3 by 6/7 to get 6/21 = 2/7. (I suspect there's a typo in the question.)

And so on, so that the <em>n</em>th term in the sequence is multiplied by <em>n</em>/(<em>n</em> + 1) to get the (<em>n</em> + 1)th term.

Recursively, the sequence is given by

\begin{cases}a_1=2\\a_n=\dfrac{n-1}na_{n-1}&\text{for }n>1\end{cases}

We can solve this exactly by iterating:

a_n=\dfrac{n-1}na_{n-1}=\dfrac{n-1}n\dfrac{n-2}na_{n-1}=\dfrac{n-1}n\dfrac{n-2}{n-1}\dfrac{n-3}{n-2}a_{n-3}=\cdots

and so on down to

a_n=\dfrac{(n-1)\cdot(n-2)\cdot(n-3)\cdot\cdots\cdot3\cdot2\cdot1}{n\cdot(n-1)\cdot(n-2)\cdot\cdots\cdot4\cdot3\cdot2}a_1

or

a_n=\dfrac{(n-1)!}{n!}a_1

and with lots of cancellation, we end up with

a_n=\dfrac{a_1}n=\boxed{\dfrac2n}

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3 years ago
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Answer:

Step-by-step explanation:

Yes it is

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Answer:

distance moved by kayaker is 54m

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3 years ago
An international company has 19,500 employees in one country. If this represents 29.7% of the company's employees, how many empl
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Sorry, Don't Know.

Step-by-step explanation:

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Find the probability of drawing a green card, not replacing it, and then drawing another green card.
IRISSAK [1]

Answer:

1/15

Step-by-step explanation:

This is probably too late but I'll do it anyway.

There are 10 cards in all.

of the 10, 3 are green.

So your chance of drawing the first green is 3/10

Now you have 9 cards in total left.

Two of them are green

Your chance of drawing a green card again is 2/9

Your total chance of drawing 2 green cards is

2/9 * 3/10 = 6/90

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7 0
2 years ago
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